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Finding the Third Proportional to 42,840 and 63,876

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Solution

The third proportional to 42,840 and 63,876 is: 95,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840 : 63,876 = 63,876 : x
  2. Step 2: Convert to fraction form
    42,840/63,876 = 63,876/x
  3. Step 3: Cross multiply
    42,840x = 63,876 × 63,876
  4. Step 4: Simplify right side
    42,840x = 4,080,143,376
  5. Step 5: Solve for x
    x = 4,080,143,376/42,840
  6. Step 6: Final answer
    x = 95,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.